Georg Kantz

Georg Kantz (born December 6, 1896 in Trieste , † November 3, 1973 ) was an Austrian mathematician and university professor .

Life

Georg Kantz was born on December 6, 1896 in Trieste, then Austro-Hungarian . He studied at the Karl-Franzens-Universität Graz and received his doctorate in 1928 under Anton Rella with the dissertation “A coefficient determination and contributions to additive number theory ”. He was appointed professor at his alma mater and in this function traveled to the International Congress of Mathematicians in Oslo in 1936 . Even before Austria was annexed, Kantz was committed to National Socialism . Later he was considered an old party member and was awarded the " Ostmark Medal ". Georg Kantz also published in the magazine " Deutsche Mathematik ", which represents racial positions .

In contrast to many other National Socialists, Kantz was not removed from office after the Second World War and was able to continue teaching after a short break at the chair from 1946. The report from 1946 certified him to be an excellent teacher and made the incorrect statement that he was neither a member of the NSDAP nor one of its branches. According to later information from the Graz Police Department in January 1949, Kantz was a member of the NSDAP with the number 6,268,491 and also holder of the commemorative medal.

Create

Georg Kantz specialized in the theory of algebraic number fields . His major work of the same name, completed in 1944 and over a thousand pages, remained unpublished due to the war and post-war circumstances. The number theorist Alexander Aigner received an assistant position with him in 1947. In 1957 the statistician Franz Josef Schnitzer did his doctorate with him .

Georg Kantz died on November 3, 1973.

Publications

• A coefficient determination along with contributions to additive number theory , dissertation, 1928
• About a proposition from the theory of biquadratic residues . In: German Mathematics , 1940.
• New derivation of the representation of the power sums of the roots of a normalized polynomial -th degree of by its coefficients ${\displaystyle n}$ ${\displaystyle x}$ . In: German Mathematics, 1940.
• Decomposition of a number of summands . In: German Mathematics, 1940.
• The dissolution of the equation: if the number of those referred natural numbers, which is relatively prime to the natural number and less than are ${\displaystyle \!\ \varphi (x)=n}$ ${\displaystyle \!\ \varphi (m)}$ ${\displaystyle m}$ ${\displaystyle m}$ . In: German Mathematics, 1941.
• Relationships between the coefficients of an analytic function and its inverse function , In : monthshefte für Mathematik 59, 1955, weblink .
• About the type of a decomposition ring , In: MONTHS FOR MATHEMATICS 59, 1955, web link .
• An Abelian operator group which is fundamental to the theory of the relative-Abelian bodies , In :monthshefte für Mathematik 61, 1957, weblink .

literature

• Alexander Aigner : Mathematics at the University of Graz , Academic Printing and Publishing Company, 1985.
• Detlef Gronau: re-appointment of the chair for mathematics in Graz in 1946 . In: Contributions to the history of mathematics.

Individual evidence

1. ^ Comptes Rendus du Congrès International des Mathématiciens, Oslo 1936, Tome I, AS Brøggers Boktrykkeri A / S, Oslo 1937. p. 33.